In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term “hot Jupiter”). The orbit was 1/9 just the distance of Mercury from our sun, and it takes the planet only 3.09 days to make one orbit (assumed to be circular). 

(a) What is the mass of the star? Express your answer in kilograms and as a multiple of our sun’s mass.

(b) How fast (in km/s) is this planet moving?